BackNon-Standard Normal Distribution definitions
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1/15BackSkip to main contentBackStandard Normal Distribution
A bell-shaped curve with a mean of zero and a standard deviation of one, used as a reference for probability calculations. Nonstandard Normal Distribution
A bell-shaped curve with any mean and standard deviation, requiring transformation for standard analysis. Mean
The central value around which data points are distributed, often denoted by the Greek letter mu. Standard Deviation
A measure of spread indicating how much data points deviate from the mean, symbolized by sigma. Z-Score
A value representing how many standard deviations a data point is from the mean, enabling comparison across distributions. Probability
The likelihood or area under the curve to the left of a specific value in a normal distribution. Z Table
A reference chart or tool used to find probabilities associated with specific z-scores in a standard normal distribution. Transformation Equation
The formula (x - mu) divided by sigma, used to convert a value from a nonstandard to a standard normal distribution. Bell Curve
A graphical representation of a normal distribution, symmetric and centered around the mean. Area
The portion under the normal curve corresponding to the probability of a value or range of values. Commute Time
An example variable representing the time taken for travel, used to illustrate normal distribution concepts. X Value
A specific data point in a distribution, often found by reversing the z-score transformation. Left Tail
The portion of the normal curve representing values less than a specified point, often used in probability calculations. Sampling Data
A collection of observed values from a population, used to illustrate distribution properties. Calculator
A tool used to compute probabilities, z-scores, or x values when working with normal distributions.
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